You can download the answer here
bit.ly/3gVQKw3
A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail
ed. The device fails when and only when the second circuit fails. Let X and Y be the times (in years) at which the first and second circuits fail, respectively. Their joint probability density function (pdf) is 6e-xe-20 for 0 < x < y 〈 oo; otherwise (a) Find the pdf of X. Identify the distribution of X (b) Find the pdf of Y (c) What is the expected time at which the device fails?
1 answer:
Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks
You might be interested in
Answer:
The equation of the line is x = 2
Step-by-step explanation:
* It is a coordinate geometry problem.
We need to find the equation of a line with undefined slope.
* The slope is undefined
The line passing through point (2 , 5)
* The rule to find the slope is
The slope is undefined if
That means the line passing through points have same x-coordinate
That means the line is vertical
* ∵ The line passing through point (2 , 5)
∵ The slope of the line is undefined
∴ All the points on the line have x-coordinate = 2
∴ The equation of the line is ⇒ x = 2
* The answer is x=2
Answer:
10 in
Step-by-step explanation:
Use the volume formula for a rectangular prism, V = lwh
Plug in the volume, length, and width, then solve for the height
V = lwh
157 = (5)(3)(h)
157 = 15h
10 = h
So, the box's height is 10 in
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
The picture of the question in the attached figure
In this problem
Triangles HFM and PST are similar
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
step 1
Find the scale factor
Let
z ----> the scale factor
substitute the given values
step 2
Find the perimeter of triangle PST
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
